3(9a+2)=-3(-5-9a)+a

Solution for 3(9a+2)=-3(-5-9a)+a equation:

Simplifying
3(9a + 2) = -3(-5 + -9a) + a

Reorder the terms:
3(2 + 9a) = -3(-5 + -9a) + a
(2 * 3 + 9a * 3) = -3(-5 + -9a) + a
(6 + 27a) = -3(-5 + -9a) + a
6 + 27a = (-5 * -3 + -9a * -3) + a
6 + 27a = (15 + 27a) + a

Combine like terms: 27a + a = 28a
6 + 27a = 15 + 28a

Solving
6 + 27a = 15 + 28a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-28a' to each side of the equation.
6 + 27a + -28a = 15 + 28a + -28a

Combine like terms: 27a + -28a = -1a
6 + -1a = 15 + 28a + -28a

Combine like terms: 28a + -28a = 0
6 + -1a = 15 + 0
6 + -1a = 15

Add '-6' to each side of the equation.
6 + -6 + -1a = 15 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 15 + -6
-1a = 15 + -6

Combine like terms: 15 + -6 = 9
-1a = 9

Divide each side by '-1'.
a = -9

Simplifying
a = -9